What is the ruling of Islamic Law regarding one who slaughters a ewe and it turns out to have been pregnant, and is it permissible to slaughter the ewe if one knows it is pregnant?
Praise be to Allah, and peace and blessings upon our master, the Messenger of Allah.
If a person slaughters a ewe and it turns out to have been pregnant, the fetus becomes lawful (ḥalāl) by virtue of its mother's slaughter (tabaʿan li-ummihā).
It is stated in Mughnī al-Muḥtāj (Vol.6/P.158): "A fetus found dead [after the mother's slaughter], or found alive but in a state resembling that of a slaughtered animal [i.e., dying shortly after], becomes lawful — whether or not it had grown fur — provided it is found in the womb of a mother that was lawfully slaughtered, whether her slaughter was by cutting the throat, or by an arrow or hunting dog sent after her. This is based on the ḥadīth: 'The slaughtering of the fetus is [effected by] the slaughtering of its mother' [narrated by al-Tirmidhī, who graded it ḥasan, and by Ibn Ḥibbān, who graded it ṣaḥīḥ] — meaning that the slaughter which rendered the mother lawful renders the fetus lawful as well, by virtue of following her; and because the fetus is one of her constituent parts, and her slaughter renders lawful all of her parts."
This ruling differs, however, from the case of one who knows from the outset that the ewe is pregnant [and intends to sacrifice her specifically as the udḥiyah while pregnant] — in which case, according to the Shāfi'ī school, she does not fulfill the requirement of a valid sacrifice.
It is stated in Ḥāshiyat al-Bujayrimī 'alā al-Khaṭīb (Vol.4/P.335): "A pregnant animal does not fulfill the requirement [of a valid sacrifice], and this is the authoritative position (al-mu'tamad), because pregnancy diminishes the quality of the meat. As for why such an animal is nevertheless counted as complete [i.e., fully valid] in matters of zakāh, that is because the intent there is reproduction (nasl), not the quality of the meat.". And Allah, the Most High, knows best.
Is it permissible to eat from an Udhiyah slaughtered on behalf of a deceased person?
Praise be to Allah, and prayers and peace be upon our Master the Messenger of Allah.
It is permissible to eat from the sacrifice (uḍḥiyyah) that is offered on behalf of a deceased person. This is the madhhab (school of thought) of the Hanbalis. In this case, the heirs take the place of the deceased as if he were alive, with the same rights to eat from it, give it in charity, and offer it as a gift.
It is stated in Maṭālib Uli al-Nuhā (Vol.2/P.472): "Offering a sacrifice on behalf of a deceased person is better than offering one on behalf of a living person, because the deceased is unable (to perform deeds) and is in need of reward. It is to be treated like a sacrifice on behalf of a living person in terms of eating, giving charity, and giving gifts." And Allah Almighty knows best.
Is it obligatory to have the intention for each day of fasting, or is one intention sufficient for the whole month?
The intention is obligatory for each day of Ramadan because each day is an independent act of worship separate from the others.
The intention must be made at night before the break of dawn, as the Prophetﷺ said: "Whoever does not intend fasting at night, there is no fast for him." [An-Nasa’i]
And he also said: "Whoever does not firmly resolve to fast before dawn, there is no fast for him." [At-Tirmidhi, Abu Dawood, and An-Nasa’i]
Whoever wakes up and eats Suhoor while mindful of fasting has made the intention. Likewise, one who firmly intends at any moment during the night to fast the next day has also fulfilled the intention.
Is it a condition for the mosque where I‘tikaf is performed to hold Jumu‘ah prayers?
No, it is not a condition for the mosque where I‘tikaf is performed to have Jumu‘ah prayers. However, if a person vows to perform continuous I‘tikaf, and Jumu‘ah occurs within that period, then they must observe I‘tikaf in a mosque where Jumu‘ah is held so that they do not break their continuity by leaving for Friday prayer.